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A triangle has a side of length 8, a second side of length 17, and a third side of length x. Express the range of possible values for x as a compound inequality. The range of possible values for x is __

Respuesta :

thaovtp1407

Answer:

9  < x  < 25

Step-by-step explanation:

Given that:

  • 1st side: 8
  • 2nd side: 17
  • 3rd side: x

As we know the third side cannot exceed the others added up (8+17)=15

so x is less than 25, due to the laws of triangles.

<=> x  < 25 (1)

Moreover, the third side is greater than the difference of the other 2 sides

<=> x > 17-8

<=> x > 9 (2)

From  (1) and (2), we have the range of possible values for x is:

9  < x  < 25

Answer:

The most possible answer for x is 9 < x < 25

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